Methods of Mathematical Physics
Author : Richard Courant
Publisher :
Page : 830 pages
File Size : 49,21 MB
Release : 1965
Category :
ISBN :
Author : Richard Courant
Publisher :
Page : 830 pages
File Size : 49,21 MB
Release : 1965
Category :
ISBN :
Author : R.D. Richtmyer
Publisher : Springer Science & Business Media
Page : 332 pages
File Size : 27,14 MB
Release : 2012-12-06
Category : Science
ISBN : 3642510760
Author : Sadri Hassani
Publisher : Springer Science & Business Media
Page : 1052 pages
File Size : 39,90 MB
Release : 2002-02-08
Category : Science
ISBN : 9780387985794
For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.
Author : Enrico De Micheli
Publisher : MDPI
Page : 182 pages
File Size : 12,9 MB
Release : 2020-12-15
Category : Mathematics
ISBN : 3039434950
The charm of Mathematical Physics resides in the conceptual difficulty of understanding why the language of Mathematics is so appropriate to formulate the laws of Physics and to make precise predictions. Citing Eugene Wigner, this “unreasonable appropriateness of Mathematics in the Natural Sciences” emerged soon at the beginning of the scientific thought and was splendidly depicted by the words of Galileo: “The grand book, the Universe, is written in the language of Mathematics.” In this marriage, what Bertrand Russell called the supreme beauty, cold and austere, of Mathematics complements the supreme beauty, warm and engaging, of Physics. This book, which consists of nine articles, gives a flavor of these beauties and covers an ample range of mathematical subjects that play a relevant role in the study of physics and engineering. This range includes the study of free probability measures associated with p-adic number fields, non-commutative measures of quantum discord, non-linear Schrödinger equation analysis, spectral operators related to holomorphic extensions of series expansions, Gibbs phenomenon, deformed wave equation analysis, and optimization methods in the numerical study of material properties.
Author : Roger Penrose
Publisher : Vintage
Page : 1136 pages
File Size : 41,22 MB
Release : 2021-06-09
Category : Science
ISBN : 0593315308
**WINNER OF THE 2020 NOBEL PRIZE IN PHYSICS** The Road to Reality is the most important and ambitious work of science for a generation. It provides nothing less than a comprehensive account of the physical universe and the essentials of its underlying mathematical theory. It assumes no particular specialist knowledge on the part of the reader, so that, for example, the early chapters give us the vital mathematical background to the physical theories explored later in the book. Roger Penrose's purpose is to describe as clearly as possible our present understanding of the universe and to convey a feeling for its deep beauty and philosophical implications, as well as its intricate logical interconnections. The Road to Reality is rarely less than challenging, but the book is leavened by vivid descriptive passages, as well as hundreds of hand-drawn diagrams. In a single work of colossal scope one of the world's greatest scientists has given us a complete and unrivalled guide to the glories of the universe that we all inhabit. 'Roger Penrose is the most important physicist to work in relativity theory except for Einstein. He is one of the very few people I've met in my life who, without reservation, I call a genius' Lee Smolin
Author : Michael Spivak
Publisher :
Page : 733 pages
File Size : 12,76 MB
Release : 2010
Category : Mechanics
ISBN : 9780914098324
Author : Donald H. Menzel
Publisher : Courier Corporation
Page : 434 pages
File Size : 24,52 MB
Release : 2012-05-23
Category : Science
ISBN : 0486139107
Useful treatment of classical mechanics, electromagnetic theory, and relativity includes explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, other advanced mathematical techniques. Nearly 200 problems with answers.
Author : Peter Szekeres
Publisher : Cambridge University Press
Page : 620 pages
File Size : 10,13 MB
Release : 2004-12-16
Category : Mathematics
ISBN : 9780521829601
This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.
Author : H. W. Wyld
Publisher : CRC Press
Page : 395 pages
File Size : 48,59 MB
Release : 2018-03-14
Category : Science
ISBN : 0429978642
This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.
Author : Francis Bitter
Publisher : Courier Corporation
Page : 210 pages
File Size : 11,62 MB
Release : 2004-01-01
Category : Mathematics
ISBN : 0486435016
Reader-friendly guide offers illustrative examples of the rules of physical science and how they were formulated. Topics include the role of mathematics as the language of physics; nature of mechanical vibrations; harmonic motion and shapes; geometry of the laws of motion; more. 60 figures. 1963 edition.